AP Exam Practice

MARKING BRAINLIEST: Ok so I just need some help on a little sentence I wrote. Its my friend (josh) speaking to me about a party.

RUDIKE [14]

Answer:

Yah its correct no mistakes (i think)its good to me

Explanation:

But brrrrrr the comment is very -_-

7 0

3 years ago

Read 2 more answers

Surface Area of a can is 517.8 cm^2. Maximize the volume of this can using the measured surface area.

mafiozo [28]

Answer:

$r = 5.24$ --- Radius

$h = 10.48$ --- Height

Explanation:

Given

Object: Can (Cylinder)

$Surface\ Area = 517.8cm^2$

Required

Maximize the volume

The surface area is:

$S.A = 2\pi r^2 + 2\pi rh$

Substitute 517.8 for S.A

$517.8 = 2\pi r^2 + 2\pi rh$

Divide through by 2

$258.9 = \pi r^2 + \pi rh$

Factorize:

$258.9 = \pi r(r + h)$

Divide through by $\pi r$

$\frac{258.9}{\pi r} = r + h$

Make h the subject

$h = \frac{258.9}{\pi r} - r$ --- (1)

Volume (V) is calculated as:

$V = \pi r^2h$

Substitute (1) for h

$V = \pi r^2(\frac{258.9}{\pi r} - r)$

Open Bracket

$V = 258.9r - \pi r^3$

Differentiate V

$V' = 258.9 - 3\pi r^2$

Set V' to 0

$0 = 258.9 - 3\pi r^2$

Collect Like Terms

$3\pi r^2 = 258.9$

Divide through by 3

$\pi r^2 = 86.3$

Divide through by $\pi$

$r^2 = \frac{86.3}{\pi}$

$r^2 = \frac{86.3*7}{22}$

$r^2 = \frac{604.1}{22}$

Take square root of both sides

$r = \sqrt{\frac{604.1}{22}$

$r = 5.24$

Recall that:

$h = \frac{258.9}{\pi r} - r$

Substitute 5.24 for r

$h = \frac{258.9}{\pi * 5.24} - 5.24$

$h = \frac{258.9*7}{22 * 5.24} - 5.24$

$h = \frac{1812.3}{115.28} - 5.24$

$h = 15.72 - 5.24$

$h = 10.48$

Hence, the dimension that maximize the volume is:

$r = 5.24$ --- Radius

$h = 10.48$ --- Height

7 0

3 years ago

Do you think it is important to distinguish “reactionary crimes” from other types of crimes? Why or why not?

UkoKoshka [18]

Yes because reactionary crimes can be seen as less "evil" and crimes done out of reaction may have a meaning behind them thats not as bad as if it were done out of fun or enjoyment. An example is having to hurt someone to protect yourself or being in a position where you have protect others.

7 0

3 years ago

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Which of the following is one of the most effective actions you can take as an eco-driver

xxMikexx [17]

Answer: Green Driving (also known as Eco-Driving and Smart Driving) is a series of efficient driving practices that include avoiding unnecessary idling. Green driving is relatively new to the United States. In Europe, and other countries where fuel prices are two to three times higher, it has for years been a well-established practice, as it can save motorists significant sums of money annually. Green driving also reduces climate change producing carbon emissions, conserves energy, improves air quality, and even makes you a safer driver. Answer should be A.

- Martiinez <3

3 0

3 years ago

In which situation has the precautionary principle been most strictly applied? (3 points)

Cloud [144]

Answer: The last option.

Explanation: The precautionary principle would be considered to be most strictly applied where the precautionary measure is most disproportionate to the given risk. In all but the last option, there are either measures taken in response to concrete problems, or the precautionary measures are actually relaxed. In the last option, though, there are merely “fears” that antibiotics and growth hormones could cause harm (no experimental evidence), but the school board still takes the strict precautionary measure of mandating that schools only serve organic milk.

8 0

2 years ago